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Complex, high-dimensional data is ubiquitous across many scientific disciplines, including machine learning, biology, and the social sciences. One of the primary methods of visualizing these datasets is with two-dimensional scatter plots…

机器学习 · 计算机科学 2025-10-13 Kiran Smelser , Kaviru Gunaratne , Jacob Miller , Stephen Kobourov

Change of measure inequalities translate divergences between probability measures into explicit bounds on event probabilities, and play an important role in deriving probabilistic guarantees in learning theory, information theory, and…

信息论 · 计算机科学 2026-05-28 Yanxiao Liu , Yijun Fan , Deniz Gündüz

In this paper, consensus-based Kalman filtering is extended to deal with the problem of joint target tracking and sensor self-localization in a distributed wireless sensor network. The average weighted Kullback-Leibler divergence, which is…

系统与控制 · 计算机科学 2017-07-28 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

数据分析、统计与概率 · 物理学 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová

Measure transport underpins several recent algorithms for posterior approximation in the Bayesian context, wherein a transport map is sought to minimise the Kullback--Leibler divergence (KLD) from the posterior to the approximation. The KLD…

统计计算 · 统计学 2020-10-27 Matthew A. Fisher , Tui Nolan , Matthew M. Graham , Dennis Prangle , Chris J. Oates

Cross-match spatially clusters and organizes several astronomical point-source measurements from one or more surveys. Ideally, each object would be found in each survey. Unfortunately, the observation conditions and the objects themselves…

数据库 · 计算机科学 2007-05-23 Jim Gray , Alex Szalay , Tamas Budavari , Robert Lupton , Maria Nieto-Santisteban , Ani Thakar

A unified metric is given for the evaluation of object tracking systems. The metric is inspired by KL-divergence or relative entropy, which is commonly used to evaluate clustering techniques. Since tracking problems are fundamentally…

计算机视觉与模式识别 · 计算机科学 2019-03-04 Terrence Adams

We consider the problem where a network of sensors has to detect the presence of targets at any of $n$ possible locations in a finite region. All such locations may not be occupied by a target. The data from sensors is fused to determine…

信息论 · 计算机科学 2012-11-20 B. Santhana Krishnan , Animesh Kumar , D. Manjunath , Bikash K. Dey

Bayesian estimation with an explicit transitional prior is required for a tracking algorithm to be embedded in most multi-target tracking frameworks. This paper describes a novel approach capable of tracking maneuvering spacecraft with an…

系统与控制 · 电气工程与系统科学 2024-10-25 Enrico M. Zucchelli , Brandon A. Jones

In the process of tracking multiple point targets in space using radar, since the targets are spatially well separated, the data between them will not be confused. Therefore, the multi-target tracking problem can be transformed into a…

信号处理 · 电气工程与系统科学 2024-09-25 Mushen Lin , Fenggang Yan , Lingda Ren , Xiangtian Meng , Maria Greco , Fulvio Gini , Ming Jin

Precision metrology underpins scientific and technological advancements. Quantum metrology offers a pathway to surpass classical sensing limits by leveraging quantum states and measurement strategies. However, measuring multiple…

Deep nonlinear models pose a challenge for fitting parameters due to lack of knowledge of the hidden layer and the potentially non-affine relation of the initial and observed layers. In the present work we investigate the use of information…

最优化与控制 · 数学 2016-12-20 Jacob S. Hunter , Nathan O. Hodas

In this paper, we mainly focus on the problem of multi-target observability, focusing on the unique state estimation criteria for multiple targets. We derive the condition which is necessary as well as sufficient for observability using…

系统与控制 · 电气工程与系统科学 2025-07-22 Debadrita Banerjee , Debjani Mitra , Rajesh Dey , Mudassir Khan , Lalan Kumar

Many practical studies rely on hypothesis testing procedures applied to data sets with missing information. An important part of the analysis is to determine the impact of the missing data on the performance of the test, and this can be…

统计方法学 · 统计学 2011-02-15 Dan L. Nicolae , Xiao-Li Meng , Augustine Kong

State discrimination is a useful test problem with which to clarify the power and limitations of different classes of measurement. We consider the problem of discriminating between given states of a bi-partite quantum system via sequential…

量子物理 · 物理学 2017-09-25 Sarah Croke , Stephen M. Barnett , Graeme Weir

When tracking a target particle that is interacting with nearest neighbors in a known way, positional data of the neighbors can be used to improve the state estimate. Effects of the accuracy of such positional data on the target track…

等离子体物理 · 物理学 2011-12-19 Neil P. Oxtoby , Jason F. Ralph , Dmitry Samsonov , Céline Durniak

A significant portion of the literature on fault localization assumes (more or less explicitly) that there are sufficient reliable measurements to guarantee that the system is observable. While several heuristics exist to break the…

系统与控制 · 计算机科学 2018-09-12 Mahdi Jamei , Anna Scaglione , Sean Peisert

The dynamics of a quantum-many body system subject to measurements is naturally described by an ensemble of quantum trajectories, which can feature measurement-induced phase transitions (MIPTs). This phenomenon cannot be revealed through…

Invariant coordinate selection (ICS) and projection pursuit (PP) are two methods that can be used to detect clustering directions in multivariate data by optimizing criteria sensitive to non-normality. In particular, ICS finds clustering…

统计方法学 · 统计学 2015-03-27 Fatimah Alashwali , John Kent

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

统计计算 · 统计学 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn